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Boyer-Moore theorem prover
ArgumentSoutien
1
#1116
A LISP-driven theorem proving engine that has been used to derive many novel mathematical results, including decisions on some open questions in mathematics.
R. S. Boyer and J. S. Moore (1979).
Immediately related elements
How this works
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Artificial Intelligence »
Artificial Intelligence
Artificial IntelligenceâA collaboratively editable version of Robert Horns brilliant and pioneering debate map Can Computers Think?âexploring 50 years of philosophical argument about the possibility of computer thought.âF1CEB7
▲
Are thinking computers mathematically possible? [7] »
Are thinking computers mathematically possible? [7]
Are thinking computers mathematically possible? [7]âIs it mathematically possible for a computer to think as well as a human can? Does the mathematics of computation contain anything to prohibit machines from thinking?âFFB597
▲
No: computers are limited by Gödel's theorems »
No: computers are limited by Gödel's theorems
No: computers are limited by Gödel's theoremsâGödels theorem proves that a computer cant in principle operate with human understanding (see detailed text). Gödels incompleteness theorems are the Achilles heel of mechanism. John Lucas (1961).â59C6EF
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Improved machines »
Improved machines
Improved machinesâA beefed-up machine can recognise the truth of the Gödel sentence. Such a machine defeats Lucass argument, because it shows that a formal system can evade Lucass Gödelizing ability.âEF597B
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The Gödelian insight has already been formalised »
The Gödelian insight has already been formalised
The Gödelian insight has already been formalisedâPrograms have been developed that can derive Gödels theorems. The Gödelian insight has, in effect, been formalised.â98CE71
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Gödelization procedure algorithmically specifiable »
Gödelization procedure algorithmically specifiable
Gödelization procedure algorithmically specifiableâThe mathematical Gödelization process can be formalised. It is meta in the sense that a formal mathematical processes is being used to reason about a mathematical process.â98CE71
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Proof has been formalised into a program »
Proof has been formalised into a program
Proof has been formalised into a programâUsing the Boyer-Moore theorem prover, Gödelâs theorem has been derived from a basic set of axioms by a computer in basically the same way that Gödel proved it himself.â98CE71
■
Boyer-Moore theorem prover
Boyer-Moore theorem proverâA LISP-driven theorem proving engine that has been used to derive many novel mathematical results, including decisions on some open questions in mathematics.â98CE71
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Entrée par:
David Price
NodeID:
#1116
Node type:
SupportiveArgument
Date d'entrée (GMT):
8/30/2006 10:58:00 AM
Date de la derniĂšre modification (Heure GMT):
12/8/2007 6:41:00 PM
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